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Simplifying 5(1 + -7n) + 8(n + -5) = 19 (1 * 5 + -7n * 5) + 8(n + -5) = 19 (5 + -35n) + 8(n + -5) = 19 Reorder the terms: 5 + -35n + 8(-5 + n) = 19 5 + -35n + (-5 * 8 + n * 8) = 19 5 + -35n + (-40 + 8n) = 19 Reorder the terms: 5 + -40 + -35n + 8n = 19 Combine like terms: 5 + -40 = -35 -35 + -35n + 8n = 19 Combine like terms: -35n + 8n = -27n -35 + -27n = 19 Solving -35 + -27n = 19 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -27n = 19 + 35 Combine like terms: -35 + 35 = 0 0 + -27n = 19 + 35 -27n = 19 + 35 Combine like terms: 19 + 35 = 54 -27n = 54 Divide each side by '-27'. n = -2 Simplifying n = -2
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